subroutine init_fft()

end subroutine init_fft

subroutine transform_fft()

end subroutine transform_fft

subroutine post_fft()

end subroutine post_fft

subroutine reduce_fft()

end subroutine reduce_fft

subroutine print_fft()

end subroutine print_fft
